CN114218643A - Rapid design method of steel rail profile - Google Patents
Rapid design method of steel rail profile Download PDFInfo
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- CN114218643A CN114218643A CN202111541290.7A CN202111541290A CN114218643A CN 114218643 A CN114218643 A CN 114218643A CN 202111541290 A CN202111541290 A CN 202111541290A CN 114218643 A CN114218643 A CN 114218643A
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- 229910000831 Steel Inorganic materials 0.000 title claims abstract description 102
- 239000010959 steel Substances 0.000 title claims abstract description 102
- 238000000034 method Methods 0.000 title claims abstract description 23
- 238000005215 recombination Methods 0.000 claims abstract description 23
- 230000006798 recombination Effects 0.000 claims abstract description 23
- 238000004364 calculation method Methods 0.000 claims abstract description 21
- 230000008521 reorganization Effects 0.000 claims description 6
- 238000005457 optimization Methods 0.000 claims description 3
- 238000012887 quadratic function Methods 0.000 claims description 3
- 230000003287 optical effect Effects 0.000 abstract description 2
- 230000002035 prolonged effect Effects 0.000 abstract description 2
- 238000012423 maintenance Methods 0.000 description 2
- 208000035874 Excoriation Diseases 0.000 description 1
- 238000005299 abrasion Methods 0.000 description 1
- 230000009286 beneficial effect Effects 0.000 description 1
- 238000012938 design process Methods 0.000 description 1
- 201000010099 disease Diseases 0.000 description 1
- 230000006806 disease prevention Effects 0.000 description 1
- 208000037265 diseases, disorders, signs and symptoms Diseases 0.000 description 1
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/20—Design optimisation, verification or simulation
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F30/00—Computer-aided design [CAD]
- G06F30/10—Geometric CAD
- G06F30/13—Architectural design, e.g. computer-aided architectural design [CAAD] related to design of buildings, bridges, landscapes, production plants or roads
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- G—PHYSICS
- G06—COMPUTING; CALCULATING OR COUNTING
- G06F—ELECTRIC DIGITAL DATA PROCESSING
- G06F2119/00—Details relating to the type or aim of the analysis or the optimisation
- G06F2119/14—Force analysis or force optimisation, e.g. static or dynamic forces
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- Pure & Applied Mathematics (AREA)
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- Machines For Laying And Maintaining Railways (AREA)
Abstract
The invention belongs to the technical field of steel rail profile design, in particular to a rapid design method of steel rail profile, which comprises the following steps: 1) carrying out contact calculation on the given steel rail profile to obtain a steel rail contact light band; 2) searching the position of a contact point needing to be optimized according to the contact light band; 3) selecting a type of line and a contact interval to be optimized to carry out 'superposition' calculation; 4) splicing the steel rail profile part obtained by the superposition calculation with the given steel rail profile to obtain the steel rail profile after the line type recombination; in the invention, the ideal cutting of the steel rail profile is carried out through the 'superposition' molded lines, the position of the steel rail contacting the optical band is reasonably adjusted, the service life of the steel rail is prolonged, the 'superposition' molded lines can be repeatedly carried out, the optimal steel rail profile is found through an iteration method, the steel rail profile can be rapidly designed, the steel rail profile can be completed through self-programming software, and the design method has better universality.
Description
Technical Field
The invention relates to the technical field of steel rail profile design, in particular to a rapid design method of steel rail profile.
Background
The steel rail is one of important components of a rail transit line, and all loads of rail transit vehicles are transmitted to the line through the steel rail and are elements directly stressed in the line. The steel rail can gradually generate various rail diseases such as abrasion, fatigue, corrugation and the like in the running process of the vehicle. When the rail damage develops to a certain degree, the rail damage needs to be replaced so as to ensure the safety of vehicle operation. Because the replacement cost of the steel rail is high, the maintenance and repair of the steel rail and the daily prevention of diseases are very important. The rail grinding technology is an important method for railway maintenance, can eliminate and inhibit rail surface damage, prolong the service life of the rail and ensure the safety and the economical efficiency of railway transportation to the maximum. The most important link before the implementation of the rail grinding technology is the design of the rail grinding profile, namely the design of the rail profile is to adjust the geometric appearance of the rail according to the wheel-rail contact theory, so that the optimal wheel-rail contact geometric relation and contact mechanical property are achieved, and finally the dynamic properties of vehicles and rails can be improved. Although a reverse design method according to a wheel diameter difference curve exists, the design process of the method is complicated and the calculation is complex. Therefore, a design method capable of performing a rapid design with a certain accuracy is urgently required.
Disclosure of Invention
The invention provides a rapid design method of a steel rail profile, aiming at rapidly designing the steel rail profile with certain precision through a simple profile model.
In order to achieve the purpose, the invention adopts the following technical scheme:
a method for rapidly designing a steel rail profile comprises the following steps:
step 1: carrying out contact calculation on the given steel rail profile to obtain a steel rail contact light band;
step 2: searching the position of a contact point needing to be optimized according to the contact light band;
and step 3: selecting one type of molded line and a contact interval to be optimized to perform profile superposition calculation;
and 4, step 4: splicing the steel rail profile part obtained by the superposition calculation with the given steel rail profile to obtain the steel rail profile after the line type recombination;
and 5: calculating the contact light band of the steel rail after the line type recombination, and judging whether the design requirement is met;
step 6: if not, comparing the contact light band of the steel rail after the linear recombination with the contact light band of the given steel rail, if the contact light band of the steel rail after the linear recombination is superior to the contact light band of the given steel rail, keeping the steel rail profile after the linear recombination, taking the steel rail profile as a new given steel rail profile, and returning to execute the step 1; if so, analyzing the dynamic performance of the steel rail after the vehicle passes through the linear recombination, judging whether the dynamic performance meets the requirement, and if not, returning to execute the step 3; if so, obtaining the final steel rail profile.
Preferably, when the contact light band of the steel rail is measured in step 1, the contact light band on the steel rail cannot be accurately obtained due to the contact of the wheel rail of the rigid body, and the light band on the steel rail is obtained through calculation by using a simplified elastic contact algorithm.
Preferably, the basis for determining the position interval of the contact point to be optimized through the contact light zone in the step 2 and the design requirement in the step 5 are as follows: on a straight line or a large-radius curve, the contact light band is centrally distributed on the top of the steel rail, the width of the contact light band is controlled within the range of 20-30 mm, and the contact light band is smooth along the direction of the steel rail; on a small radius curve, the rim and gage angle should make a common contact when the wheel is proximate the rail.
Preferably, the molded lines in step 3 are respectively straight lines, left circular arcs, right circular arcs, semicircles, sinusoids, unary quadratic function curves, and exponential function curves.
Preferably, the profile "superposition" calculation in step 3 is to add the profile data points to the value of a continuous coefficient function on the same abscissa.
Preferably, the formula of the "superposition" calculation is:
Δ＝max(fi(x,y)-gi(x,y))
Gi(x,y)＝gi(x,y,Δ)
Fi(x,y)＝fi(x,y)+k*Gi(x,y)
in the formula: i is the serial number value of the steel rail data point (the serial number value of the contact point needing to be optimally designed), fi(x, y) represents the abscissa and ordinate values of the rail profile data, gi(x, y) represents the abscissa and ordinate values of the data of the linear reorganization, Δ is the maximum value of the difference between the ordinate values on the abscissa corresponding to the profile of the rail and the linear reorganization, Gi(x, y) is an optimization function of the linear recombination taking into account the maximum difference, FiAnd (x, y) is an abscissa value and an ordinate value of the linear recombined rail profile data.
Compared with the prior art, the invention has the following beneficial effects:
1. the ideal cutting of the profile of the steel rail is carried out through the 'superposed' profile, the position of the steel rail contacting with the optical band is reasonably adjusted, and the service life of the steel rail is prolonged;
2. the molded lines can be repeatedly overlapped, and the optimal steel rail profile can be found through an iterative method;
3. the superposition calculation of the profile and the given steel rail profile is simpler, the steel rail profile can be quickly designed, the given profile is smooth and can be guided, and the smooth guidance of the steel rail profile can be also met after the superposition calculation is carried out on the profile and the steel rail profile;
4. the design method can be completed through self-programming software, so that the design method has better universality.
Drawings
FIG. 1 is a flow chart of the overall design of the present invention.
Detailed Description
The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the drawings in the embodiments of the present invention, and it is obvious that the described embodiments are only a part of the embodiments of the present invention, and not all of the embodiments.
Example one
Referring to fig. 1, a method for rapidly designing a profile of a steel rail includes the steps of:
step 1: firstly, the wheel tread appearance, the steel rail appearance to be optimized and related wheel rail contact parameters are given, and the contact light band and the wheel rail contact parameters of the steel rail are obtained through geometric matching calculation according to the wheel rail;
step 2: according to the steel rail contact light band calculated in the step 1 and the actual damage form of the steel rail, the contact light band is centrally distributed on the top of the steel rail on a straight line or a large-radius curve, the width of the contact light band is controlled within the range of 20-30 mm, and the contact light band is smooth along the track direction, so that the interval of the position of the contact point needing to be polished is found;
and step 3: performing profile superposition calculation by selecting a pre-designed profile and the interval of the position of the contact point to be polished, which is obtained in the step (2), namely adding the profile data point and a value of a certain continuous coefficient function on the same abscissa;
the formula of the "superposition" calculation is as follows:
Δ＝max(fi(x,y)-gi(x,y))
Gi(x,y)＝gi(x,y,Δ)
Fi(x,y)＝fi(x,y)+k*Gi(x,y)
in the formula: i is the serial number value of the steel rail data point (the serial number value of the contact point needing to be optimally designed), fi(x, y) represents the abscissa and ordinate values of the rail profile data, gi(x, y) represents the abscissa and ordinate values of the data of the linear reorganization, Δ is the maximum value of the difference between the ordinate values on the abscissa corresponding to the profile of the rail and the linear reorganization, Gi(x, y) is an optimization function of the linear recombination taking into account the maximum difference, Fi(x, y) are the horizontal coordinate value and the vertical coordinate value of the steel rail profile data after the linear recombination;
and 4, step 4: splicing the steel rail profile obtained by the superposition calculation in the step 3 with the steel rail profile given in the step 1 to obtain the steel rail profile after the linear recombination;
and 5: calculating a contact light band of the steel rail profile subjected to linear recombination obtained in the step (4), and judging whether the design requirements are met or not by judging whether the wheel rim and the gauge angle form common contact or not when the wheel is close to the steel rail on a small radius curve;
step 6: if not, comparing the contact light band of the steel rail after the linear recombination with the contact light band of the given steel rail, if the contact light band of the steel rail after the linear recombination is superior to the contact light band of the given steel rail, keeping the steel rail profile after the linear recombination, taking the steel rail profile as a new given steel rail profile, and returning to execute the step 1; if so, analyzing the dynamic performance of the steel rail after the vehicle passes through the linear recombination, judging whether the dynamic performance meets the requirement, and if not, returning to execute the step 3; if so, obtaining the final steel rail profile.
In the invention, the molded lines in the step 3 are designed in advance and respectively designed into straight lines, left circular arcs, right circular arcs, semi-circles, sinusoids, unitary quadratic function curves and exponential function curves.
The above description is only for the preferred embodiment of the present invention, but the scope of the present invention is not limited thereto, and any person skilled in the art should be considered to be within the technical scope of the present invention, and the technical solutions and the inventive concepts thereof according to the present invention should be equivalent or changed within the scope of the present invention.
Claims (6)
1. A rapid design method of a steel rail profile is characterized by comprising the following steps:
step 1: carrying out contact calculation on the given steel rail profile to obtain a steel rail contact light band;
step 2: searching the position of a contact point needing to be optimized according to the contact light band;
and step 3: selecting one type of molded line and a contact interval to be optimized to perform profile superposition calculation;
and 4, step 4: splicing the steel rail profile part obtained by the superposition calculation with the given steel rail profile to obtain the steel rail profile after the line type recombination;
and 5: calculating the contact light band of the steel rail after the line type recombination, and judging whether the design requirement is met;
step 6: if not, comparing the contact light band of the steel rail after the linear recombination with the contact light band of the given steel rail, if the contact light band of the steel rail after the linear recombination is superior to the contact light band of the given steel rail, keeping the steel rail profile after the linear recombination, taking the steel rail profile as a new given steel rail profile, and returning to execute the step 1; if so, analyzing the dynamic performance of the steel rail after the vehicle passes through the linear recombination, judging whether the dynamic performance meets the requirement, and if not, returning to execute the step 3; if so, obtaining the final steel rail profile.
2. The method for rapidly designing the steel rail profile according to claim 1, wherein when the contact light zone of the steel rail is measured in the step 1, the contact light zone on the steel rail cannot be accurately obtained due to the rigid body wheel rail contact, and a simplified elastic contact algorithm is used herein to calculate the light zone on the steel rail.
3. The method for rapidly designing the steel rail profile according to claim 1, wherein the basis for determining the contact point position interval to be optimized through the contact light band in the step 2 and the design requirement in the step 5 are as follows: on a straight line or a large-radius curve, the contact light band is centrally distributed on the top of the steel rail, the width of the contact light band is controlled within the range of 20-30 mm, and the contact light band is smooth along the direction of the steel rail; on a small radius curve, the rim and gage angle should make a common contact when the wheel is proximate the rail.
4. The method for rapidly designing the profile of the steel rail according to claim 1, wherein the molded lines in the step 3 are respectively straight lines, left circular arcs, right circular arcs, semi-circles, sinusoids, unary quadratic function curves and exponential function curves.
5. A method for rapid design of a rail profile according to claim 1, wherein said profile "stacking" calculation in step 3 is performed by adding the profile data points to the values of a continuous coefficient function on the same abscissa.
6. The method for rapidly designing the steel rail profile according to claim 1, wherein the formula of the superposition calculation is as follows:
Δ＝max(fi(x,y)-gi(x,y))
Gi(x,y)＝gi(x,y,Δ)
Fi(x,y)＝fi(x,y)+k*Gi(x,y)
in the formula: i is the serial number value of the steel rail data point (the serial number value of the contact point needing to be optimally designed), fi(x, y) represents the abscissa and ordinate values of the rail profile data, gi(x, y) represents the abscissa and ordinate values of the data of the linear reorganization, Δ is the maximum value of the difference between the ordinate values on the abscissa corresponding to the profile of the rail and the linear reorganization, Gi(x, y) is an optimization function of the linear recombination taking into account the maximum difference, FiAnd (x, y) is an abscissa value and an ordinate value of the linear recombined rail profile data.
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| Application Number | Priority Date | Filing Date | Title |
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| CN202111541290.7A CN114218643B (en) | 2021-12-16 | 2021-12-16 | Quick design method for steel rail profile |
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| CN202111541290.7A CN114218643B (en) | 2021-12-16 | 2021-12-16 | Quick design method for steel rail profile |
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| CN114218643B CN114218643B (en) | 2024-09-13 |
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Cited By (1)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN116150918B (en) * | 2023-04-21 | 2023-08-04 | 北京交通大学 | Intelligent rail profile optimization method considering distribution characteristics of contact positions of wheel and rail on rail |
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| CN108647394A (en) * | 2018-04-13 | 2018-10-12 | 中铁物轨道科技服务集团有限公司 | A kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses |
| CN112836313A (en) * | 2021-02-24 | 2021-05-25 | 上海应用技术大学 | Method for designing grinding profile of turnout steel rail based on contact light band position |
| CN112836272A (en) * | 2021-01-20 | 2021-05-25 | 北京交通大学 | Neural network model-based high-speed railway steel rail profile optimization design method |
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- 2021-12-16 CN CN202111541290.7A patent/CN114218643B/en active Active
Patent Citations (4)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| WO2014173640A1 (en) * | 2013-04-22 | 2014-10-30 | Db Netz Ag | Computer-implemented method of calculation and low-noise rail |
| CN108647394A (en) * | 2018-04-13 | 2018-10-12 | 中铁物轨道科技服务集团有限公司 | A kind of railroad turnout steel rail Exterior Surface Design based on wheel Rail Contact Stresses |
| CN112836272A (en) * | 2021-01-20 | 2021-05-25 | 北京交通大学 | Neural network model-based high-speed railway steel rail profile optimization design method |
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| CN116150918B (en) * | 2023-04-21 | 2023-08-04 | 北京交通大学 | Intelligent rail profile optimization method considering distribution characteristics of contact positions of wheel and rail on rail |
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